In this paper we will focus on the \(G(2, 1, N)\)  case, which are also known as the Inozemtsev system [1]}, which corresponds to \(4d\)  \(\mathcal {N}=2\)  \(\mathrm {USp}(2N)\)  gauge theory with one antisymmetric and four fundamental hypermultiplets. Since \(G(2, 1, N)\)  is the complexification of the Weyl group \(W(B_N) \equiv W(C_N)\)  and depends on an elliptic modulus, it is natural to guess that it describes the Coulomb branch of a superconformal gauge theory with \(\mathrm {USp}(2N)\)  or \(\mathrm {Spin}(2N{+}1)\)  gauge group. What is surprising is that, on the one hand, the Inozemtsev system has no direct Lie-algebraic interpretation, and on the other hand the Inozemtsev systems has the right pattern of couplings to match exactly with a single class of 4d \(\mathcal {N}=2\)  gauge theories, namely, the \(\mathrm {USp}(2N)\)  superconformal theories with one antisymmetric and \(N_f=4\)  fundamental hypermultiplets.
